### All Algebra 1 Resources

## Example Questions

### Example Question #1 : How To Add Trinomials

Solve this system of equations for :

**Possible Answers:**

**Correct answer:**

First, we want to eliminate the variable from the set of equations. To do this, we need to make the coefficients of the two 's equal but opposite. This way, when we add the equations, we will be able to eliminate them. To make the equal but opposite to the , we need to multiply the top equation by 2 on both sides. This gives us the equation:

Then, we combine the two equations by adding them. We add the like terms together and get this equation:

Using our knowledge of algebra, we know we can divide both sides by 7 to isolate the . Doing so leaves us with our answer, .

### Example Question #5 : How To Add Trinomials

**Possible Answers:**

**Correct answer:**

To solve this problem, simply add the terms with like exponents and variables:

Thus, is our answer.

### Example Question #4 : How To Add Trinomials

Simpify into quadratic form:

**Possible Answers:**

**Correct answer:**

The first step is to combine all terms with like exponents and variables. Watch for negative signs!

Next, rearrange into standard quadratic form :

Thus, our answer is .

### Example Question #4 : How To Add Trinomials

Simpify into quadratic form:

**Possible Answers:**

**Correct answer:**

Let's solve this problem the long way, to see how it's done. Then we can look at a shortcut.

First, **FOIL** the binomial combinations:

FOIL stands for the multiplication between the first terms, outer terms, inner terms, and then the last terms.

Lastly, add the compatible terms in our trinomials:

So, our answer is .

**Now, let's look at a potentially faster way.**

Look at our initial problem.

Notice how can be found in both terms? Let's factor that out:

Simpify the second term:

Now, perform a much easier multiplication:

So, our answer is , and we had a much easier time getting there!

### Example Question #4271 : Algebra 1

Add the trinomials:

**Possible Answers:**

**Correct answer:**

Eliminate the parentheses and combine like-terms.

Combine all the terms.

The answer is:

### Example Question #41 : Polynomials

Find the sum.

**Possible Answers:**

**Correct answer:**

When adding trinomials we combine together coefficients of like terms.

### Example Question #4273 : Algebra 1

Add the following trinomials:

**Possible Answers:**

**Correct answer:**

Combine like terms:

### Example Question #1 : Solving Equations

Solve this system of equations for :

**Possible Answers:**

**Correct answer:**

Multiply the top equation by 3 on both sides, then add the second equation to eliminate the terms:

### Example Question #2 : Simplifying Polynomials

Evaluate the following:

**Possible Answers:**

**Correct answer:**

To subtract these two trinomials, you first need to flip the sign on every term in the second trinomial, since it is being subtrated:

Next you can combine like terms. You have two terms with , two terms with , and two terms with no variable:

### Example Question #2 : Simplifying And Expanding Quadratics

Subtract:

**Possible Answers:**

**Correct answer:**

When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:

Next, identify and group the like terms in order to combine them: .

Certified Tutor

Certified Tutor